Spinning geodesic Witten diagrams
Author(s)
Sully, James; Dyer, Ethan; Freedman, Daniel Z
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We present an expression for the four-point conformal blocks of symmetric traceless operators of arbitrary spin as an integral over a pair of geodesics in Anti-de Sitter space, generalizing the geodesic Witten diagram formalism of Hijano et al. [1] to arbitrary spin. As an intermediate step in the derivation, we identify a convenient basis of bulk threepoint interaction vertices which give rise to all possible boundary three point structures. We highlight a direct connection between the representation of the conformal block as geodesic Witten diagram and the shadow operator formalism.
Date issued
2017-10Department
Massachusetts Institute of Technology. Department of Mathematics; Massachusetts Institute of Technology. Department of PhysicsJournal
Journal of High Energy Physics
Publisher
Springer/SISSA
Citation
Dyer, Ethan, et al. “Spinning Geodesic Witten Diagrams.” Journal of High Energy Physics, vol. 2017, no. 11, Nov. 2017. © 2017 Springer International Publishing AG
Version: Final published version
ISSN
1029-8479